If you look at the link provided by Bruce (the moderator at Folding) to my question, you will know a bit more about how Folding and Docking relate. But I am not an expert on the subject, and what Scripps is doing here is a bit more than just "docking".
https://foldingforum.org/viewtopic.php?f=17&t=35110#p336603

Docking method: Reactive docking (Giulia)
The main innovation of our approach resides in the docking protocols we are using. Together with conventional dockings, in which we try to predict which molecules can bind transiently (i.e., reversibly) on the protein surface, we are using a new protocol, called ‘reactive docking’, to find irreversible binders: molecules that can bind tighter and irreversibly. One of the advantages of this class of molecules is that once they latch on their target, they disable it until the protein is degraded, which is clearly a great feature to have in a drug! and if properly designed they can be very selective.
https://forlilab.org/opn-update-7-20/

What Fornilab is doing on WCG and John Chodera etc. on F@H is ultimately quite similar: test compounds against viral protein targets to see if they may be turned into viable drugs. What I gather is Openpandemics is screening large libraries of molecules + some hypotethical compounds that could be made from existing ones relatively easy (ask a chemist...). The covid moonshot project is different in that all potential candidates are engineered up-front with the idea that they might work, the molecules are designed by collaborators that may have a good intuition or otherwise for compounds that will fit the viral protein targets. Also since they are not existing molecules, they work on creating chemical routes for compounds that are calculated on volunteer computers to be promising and then to make them for actual testing in a biolab.